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Finding the Fourth Proportional to 4,297.04, 6,451 and 3,575.44

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Solution

The fourth proportional to 4,297.04, 6,451 and 3,575.44 is: 5,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.04 : 6,451 = 3,575.44 : x
  2. Step 2: Convert to fraction form
    4,297.04/6,451 = 3,575.44/x
  3. Step 3: Cross multiply
    4,297.04x = 6,451 × 3,575.44
  4. Step 4: Simplify right side
    4,297.04x = 23,065,163.44
  5. Step 5: Solve for x
    x = 23,065,163.44/4,297.04
  6. Step 6: Final answer
    x = 5,367.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.